Yeah. I write lots of characters with superhuman strength. Most of the time if they have it at childhood I pull a Shizuo and have them hospitalized until their body becomes tough enough to handle it, and I have them learn to control it in their adolescent years. Many of them are genuinely disliked by their peers and such, because of their strength, so they become kind of cold and edgy.
Of course if it's something that their species has, I make them adept at handling it, and able to withstand the strain it puts on their body.
I also make it accurate according to physics. If they're lifting or otherwise using something monumentally heavy, it will dig their feet into the ground, except for some, who use a "special stance" which is my own bullshit justification for them lifting something too heavy without burying themselves underground. Also, some people have this notion that if you're punched by a person with superhuman strength, you'll go flying, when, unless they're hitting you with spread fingers and an open palm, isn't true. In fact, they would more than likely impale you if they punched you. I also make them leap great distances, but they rarely ever make a fissure under the ground unless they're stomping when they land.